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Finding the Third Proportional to 4,320 and 9,480.38

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Solution

The third proportional to 4,320 and 9,480.38 is: 20,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320 : 9,480.38 = 9,480.38 : x
  2. Step 2: Convert to fraction form
    4,320/9,480.38 = 9,480.38/x
  3. Step 3: Cross multiply
    4,320x = 9,480.38 × 9,480.38
  4. Step 4: Simplify right side
    4,320x = 89,877,510.14
  5. Step 5: Solve for x
    x = 89,877,510.14/4,320
  6. Step 6: Final answer
    x = 20,804.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.